Concept explainers
To calculate: The length of the given cardioid.
Answer to Problem 74E
The required length of the cardioid is 8.
Explanation of Solution
Given information:
The equation of the cardioid:
The given equation of the cardioid is
It is known that in a polar
The region of the given polar curve is
Write the length of the given cardioid as:
Simplify the above expression further.
Again, simplify the above expression further.
Also,
Hence, the required length of the cardioid is 8.
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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